That's a very dangerous idea that has been tried in communistic countries many times. It always leads to horrendous outcomes and the authoritarian control of the public.
We should each follow our own moral compass, and oppose viewpoints that we find horrific. But trying to systematically stamp out disagreeable ideas, rather than to influence people with better ideas, is a road to hell.
This sort of absolutism is the same kind of garbage middle-school level philosophy that Elon Musk peddles, and it doesn't work in practice. For example, holocaust denialism, or in the most recent example, Sandy Hook massacre denialism isn't an opposing viewpoint worth hosting on a private platform. The best course of action is to simply eradicate it. Infowars being shutdown is a great example of a good thing happening.
How are there people old enough to comment on Sandy Hook, denying Sandy Hook? What do you even say to convince someone that a highly televised event within their own recent history did not happen?
We should each follow our own moral compass, and oppose viewpoints that we find horrific. But trying to systematically stamp out disagreeable ideas, rather than to influence people with better ideas, is a road to hell.